\(\left|\dfrac{5}{3}-x\right|-\left|-\dfrac{5}{6}\right|=\left|-\dfrac{5}{9}\right|\)
\(\Leftrightarrow\left|\dfrac{5}{3}-x\right|-\dfrac{5}{6}=\dfrac{5}{9}\)
\(\Leftrightarrow\left|\dfrac{5}{3}-x\right|=\dfrac{5}{9}+\dfrac{5}{6}=\dfrac{25}{18}\)
\(\Rightarrow\left[{}\begin{matrix}\dfrac{5}{3}-x=\dfrac{25}{18}\\\dfrac{5}{3}-x=-\dfrac{25}{18}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{5}{18}\\x=\dfrac{55}{18}\end{matrix}\right.\)
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